What is the Greatest Common Factor of 73175 and 73190?

Greatest common factor (GCF) of 73175 and 73190 is 5.

GCF(73175,73190) = 5

We will now calculate the prime factors of 73175 and 73190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73175 and 73190.

How to find the GCF of 73175 and 73190?

We will first find the prime factorization of 73175 and 73190. After we will calculate the factors of 73175 and 73190 and find the biggest common factor number .

Step-1: Prime Factorization of 73175

Prime factors of 73175 are 5, 2927. Prime factorization of 73175 in exponential form is:

73175 = 5² × 2927¹

Step-2: Prime Factorization of 73190

Prime factors of 73190 are 2, 5, 13, 563. Prime factorization of 73190 in exponential form is:

73190 = 2¹ × 5¹ × 13¹ × 563¹

Step-3: Factors of 73175

List of positive integer factors of 73175 that divides 73175 without a remainder.

1, 5, 25, 2927, 14635

Step-4: Factors of 73190

List of positive integer factors of 73190 that divides 73175 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 563, 1126, 2815, 5630, 7319, 14638, 36595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73175 and 73190. The biggest common factor number is the GCF number.
So the greatest common factor 73175 and 73190 is 5.

Also check out the Least Common Multiple of 73175 and 73190